x-3/x-7=4/x-7

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Solution for x-3/x-7=4/x-7 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

x-(3/x)-7 = 4/x-7 // - 4/x-7

x-(3/x)-(4/x)-7+7 = 0

x-3*x^-1-4*x^-1-7+7 = 0

1*x^1-7*x^-1 = 0

(1*x^2-7*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-7*x^0) = 0

x^1

x^2-7 = 0

x^2-7 = 0

DELTA = 0^2-(-7*1*4)

DELTA = 28

DELTA > 0

x = (28^(1/2)+0)/(1*2) or x = (0-28^(1/2))/(1*2)

x = 7^(1/2) or x = -7^(1/2)

x in { -7^(1/2), 7^(1/2)} 

x in { -7^(1/2), 7^(1/2) }

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